Inspired by Jason Chrysoprase

Algebra Level 5

True or false:

a) The polynomial \(p(x) = x^2 + 1 \in \mathbb{C}[x]\) is an irreducible polynomial over \(\mathbb{C}\)

b) The polynomial \(p(x) = x^2 + 1 \in \mathbb{Z}_2 [x]\) is an irreducible polynomial over \(\mathbb{Z}_2\).

Definition.-

Irreducible polynomial

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